Download presentation

Published byCatherine Joseph Modified over 7 years ago

1
**Algebra: Patterns in Decimal Factors, Products & Quotients**

Schimmel Algebra: Patterns in Decimal Factors, Products & Quotients

2
MCC5.NBT.2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of ten, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.

3
Essential Question: How are the quotients affected when dividing decimals by powers of 10?

4
When you divide a decimal number by 10, 100, or 1,000, move the decimal point to the left because the quotient will be less than the dividend. When you divide a decimal number by 0.1 and 0.01 move the decimal point to the right because the greater will be greater than the dividend. Example #1 0.98 ÷ 1 = 0.98 24.5 ÷ 1 = 24.5 0.98 ÷ 10 = 0.098 24.5 ÷ 0.1 = 245 0.98 ÷ 100 = 24.5 ÷ 0.01 = 2,450 0.98 ÷ 1,000 = 24.5 ÷ = 24,500

5
When you divide a decimal number by 10, 100, or 1,000, move the decimal point to the left because the quotient will be less than the dividend. When you divide a decimal number by 0.1 and 0.01 move the decimal point to the right because the greater will be greater than the dividend. Example #2 0.478 ÷ 1 = 0.478 0.4 ÷ 1 = 0.4 0.478 ÷ 10 = 0.478 0.4 ÷ 0.1 = 4 0.478 ÷ 100 = 0.4 ÷ 0.01 = 40 0.478 ÷ 1,000 = 0.4 ÷ = 400

6
Guided Practice

7
0.3 ÷ 1 = 0.3 0.3 ÷ 10 = 0.03 0.3 ÷ 100 = _____ 0.3 ÷ 1000 = _____

8
2.845 ÷ 1 = 2.845 2.845 ÷ 10 = 2.845 ÷ 100 = _______ 2.845 ÷ 1,000 =

11
0.5 ÷ 1 = 0.5 0.5 ÷ 0.1 = ______ 0.5 ÷ 0.01 = ______

12
3.82 ÷ 1 = 3.82 3.82 ÷ 0.1 = ________ 3.82 ÷ 0.01 = ________

13
7.2 ÷ 1 = _______ 7.2 ÷ 0.1 = ______ 7.2 ÷ 0.01 = ______

14
Your Turn

18
0.9 ÷ 1 = 0.9 0.9 ÷ 0.1 = _______ 0.9 ÷ 0.01 = _______ 0.9 ÷ = ________ 0.9 ÷ = _______

19
8.2 x 1 = 8.2 8.2 ÷ 0.1 = ________ 8.2 ÷ 0.01 = ________ 8.2 ÷ = ________ 8.2 ÷ = _______

20
9.8 ÷ 1 = _______ 9.8 ÷ 0.1 = _______ 9.8 ÷ 0.01 = _______ 9.8 ÷ = _______ 9.8 ÷ = _______

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google